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1.6 C: Coordinate geometry in the (x, y) plane

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Question 11

The curve C1 C_1\,C1​ has parametric equations

x=6cos⁡tx = 6\cos tx=6cost, y=25sin⁡ty = 2\sqrt{5}\sin ty=25​sint, where 0≤t<2π0 \leq t < 2\pi0≤t<2π

C1 C_1\,C1​ meets the circle C2C_2C2​, which has equation x2+y2=25x^2 + y^2 = 25x2+y2=25, at four distinct points, as shown in Figure 1 below.

Figure for question 2

Find the exact Cartesian coordinates of the four points of intersection.

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Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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